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DC2 PSF Status

The objective is to find a reasonable parametric representation in energy and angular deviations for event classification using statistical methods. The process involves 8 bins in energy and 8 bins in cos(θ) for fitting the function to two classes of events. The data sets are combined, and scaling functions are applied to achieve desired values. The investigation includes energy scaling and examination of integral distributions.

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DC2 PSF Status

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  1. DC2 PSF Status • The function: • 8 bins in energy (2/decade), 6 in cos() (0.1) • Two classes A: GoodEvent3;C: GoodEvent1 && ! GoodEvent3; • Apply scaling function of energy to angular deviations to make the 68% values for approximately 1. (The “Atwood function) • Objective: to find reasonable parametric representation in E and cos of  and 

  2. Fits to the function • 8 bins in energy (2/decade), 8 in cos() (0.1) • Two classes so far differ in CTBCORE cut. also (front/back)A: GoodEvent3;C: GoodEvent1 && ! GoodEvent3; • Combine the two data sets • Apply scaling function of energy to make 68% values approximately 1. • Stop fit at 10 (scaled) sigma

  3. Class A front: Near normal fits for all energies

  4. The parameters: polynomial fits 95%  68% 

  5. Angular dependence: mild class A front

  6. Clearly energy-dependent What about those Class B guys?

  7. Check integral distributions:compare A, C front factor of 2! currently a mystery

  8. To Do • Continue checking • Decide on strategy: • Table look-up • Smooth functions

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